Paper Info
Title
A Novel Sub-Nyquist FRI Sampling and Reconstruction Method in Linear Canonical Transform Domain
Abstract
The finite-rate-of-innovation (FRI) sampling frame has drawn a great deal of attention in many applications. In this paper, a novel sub-Nyquist FRI-based sampling and reconstruction method in linear canonical transform (LCT) domain is proposed. First, a new, compact-support sampling kernel is designed to acquire sub-Nyquist samples in time domain, which can be viewed as anti-aliasing prefilter in LCT domain. Then, the corresponding sampling theorem is derived and the reconstruction algorithm is summarized based on annihilating filter and least square method. Moreover, compared with other representative sub-Nyquist sampling methods, the experiment results demonstrate the superior reconstruction performance of the proposed method. The reconstruction ability in noisy environment is also measured by mean square error. Finally, the proposed method is applied to time delay estimation and can obtain super-resolution results.
Year
DOI
Venue
2021
10.1007/s00034-021-01759-w
Circuits, Systems, and Signal Processing
Keywords
DocType
Volume
Finite of rate innovation, Sub-Nyquist sampling, Linear canonical transform, Time delay estimation
Journal
40
Issue
ISSN
Citations 
12
0278-081X
0
PageRank 
References 
Authors
0.34
24
3
Name
Order
Citations
PageRank
Xin, Hong-Cai100.34
Bing-zhao Li218611.61
Xia Bai331.06